Spacetime admitting semiconformal curvature tensor in f(R) modify gravity

The primary goal of this paper is to examine spacetimes admitting semiconformal curvature tensor in f(R) modify gravity. The semiconformal flatness of general spacetime and spacetime in f(R) gravity with perfect fluid, has been analyzed. For this consideration, we generate the forms of isotropic pressure p and energy density s. After that, a few energy conditions are taken into account. Finally, we study the divergence-free semiconformal curvature tensor in f(R) gravity in presence of perfect fluid. We emphasize that for recurrent or bi-recurrent energy-momentum tensor, Ricci tensor of this spacetime is semi-symmetric and consequently, the resulting spacetimes either accomplish inflation or possess fixed isotropic pressure and energy density.